Home
Class 12
MATHS
In the sequence a(n) the nth term is def...

In the sequence `a_(n)` the nth term is defined as `(a_(n-1) - 1)^(2)`. If `a_(3) = 64`, then what is the value of `a_(2)` ?

A

2

B

3

C

4

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

In the sequence a_n , then nth term is defined as (a_(n - 1) - 1)^2 . If a_(1) = 4 , then what is the value of a_2 ?

In a sequence, the n^(th) term a_(n) is defined by the rule (a_(n-1) - 3)^(2), a_(1) = 1 what is the value of a_(4) ?

A sequence of number a_1, a_2, a_3,…..,a_n is generated by the rule a_(n+1) = 2a_(n) . If a_(7) - a_(6) = 96 , then what is the value of a_(7) ?

The terms of a sequence are defined by a_(n)=3a_(n-1)-a_(n-2) for n gt 2 . What is the value of a_(5) if a_(1)=4 and a_(2)=3 ?

The sum of the first 25 terms of an arithmetic sequence is 1,400, and the 25th term is 104. If the first term of the sequence is a_(1) and the second term is a_(2) , what is the value of a_(2)-a_(1) ?

If the sequence (a_(n)) is in GP, such that a_(4)//a_(6)=1//4 and a_(2)+a_(5)=216, then a_(1) is equal to

Let a sequence whose n^(th) term is {a_(n)} be defined as a_(1) = 1/2 and (n-1)a_(n-1) = (n+1)a_(n) for n ge 2 then Lim_(n rarroo) S_(n) equals

Find the indicated terms in each of the following sequences whose n^(th) terms are a_(n) = (a_(n-1))/(n^(2)) , (n ge 2) , a_(1) =3 , a_(2) , a_(3)

If for a sequence {a_(n)},S_(n)=2n^(2)+9n , where S_(n) is the sum of n terms, the value of a_(20) is

If the n^(th) term is a sequence of number a_(0), a_(1), a_(2),…..a_(n) is defined to equal 2n + 1 , then what is the numerical difference between the 5^(th) and 6^(th) terms in the sequece?